Basic starting hand odds
 

Hey, when I'm bored at work I try to figure out odds for various situations in different variants of poker I play. So I've been trying to figure out the odds of being dealt a Pineapple hand where two, but not three, of the cards share the same suit. Typically I can reason it out to choose notation but I'm having a brain fart right now and can't seem to do it. Can anyone write out the expression for determining this? For those who don't know, Pineapple is a game with three-card starting hands.

Re: Basic starting hand odds
 

[ QUOTE ]
Hey, when I'm bored at work I try to figure out odds for various situations in different variants of poker I play. So I've been trying to figure out the odds of being dealt a Pineapple hand where two, but not three, of the cards share the same suit. Typically I can reason it out to choose notation but I'm having a brain fart right now and can't seem to do it. Can anyone write out the expression for determining this? For those who don't know, Pineapple is a game with three-card starting hands.

[/ QUOTE ]

4*C(13,2)*39 / C(52,3)

=~ 55.1% or 1.2-to-1 favorite

OR

52/52 * 12/51 * 39/50 * 3

=~ 55.1% or 1.2-to-1 favorite